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use GA after you configure it correctly. you don't need real names. heck, you don't even have to have a directory structure; you can tell GA to track pages that don't exist. Check the GA docs again.
i've accidentally tracked entire sites' activities on private dev servers, it all shows up in your account report.

Create, Share, and Debug HTML pages and snippets with a cool new web app I helped create: pagedemos.com

Google Analytics isn't good for Intranets for a few reasons, one of which is the domain issue.

There are a few open source options like webalizer or awstats but if you want something that's actively developed and supported you should check out a commercial product. Angelfish Sotware comes to mind.